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2012 On Exponential Stability Conditions of Descriptor Systems with Time-Varying Delay
S. Cong, Z.-B. Sheng
J. Appl. Math. 2012: 1-12 (2012). DOI: 10.1155/2012/532912


We are interested in the exponential stability of the descriptor system, which is composed of the slow and fast subsystems with time-varying delay. In computing a kind of Lyapunov functional, we employ a necessary number of slack matrices to render the balance and to yield the convexity condition for reducing the conservatism and dealing with the case of time-varying delay. Therefore, we can get the decay rate of the slow variables. Moreover, we characterize the effect of the fast subsystem on the derived decay rate and then prove the fast variables to decay exponentially through a perturbation approach. Finally, we provide an example to demonstrate the effectiveness of the method.


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S. Cong. Z.-B. Sheng. "On Exponential Stability Conditions of Descriptor Systems with Time-Varying Delay." J. Appl. Math. 2012 1 - 12, 2012.


Published: 2012
First available in Project Euclid: 15 March 2012

zbMATH: 1235.93182
MathSciNet: MR2861930
Digital Object Identifier: 10.1155/2012/532912

Rights: Copyright © 2012 Hindawi


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